In quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.

Answers

Answer 1

Answer: 35, 35, 70, and 220

Step-by-step explanation:

– Let x = size of one of the two equal angles

The sum of angles in a quadrilateral is 360:

360 = x+ x + ( x+x ) x (2( x+ x+ x+x ) – 60)

360 = 4 + 2(4 ) – 60

360 = 4 + 8 – 60

360 = 12 – 60

12x = 420

= 35

Substituting x for 35, will get: 35, 35, 70, 220

The values of the angles are 35°, 35°, 70° and 220°


Related Questions

HELP MEE!!! PLEASE



Cheryl is filling bags for a party. She puts 2 key chains in each of the 5 bags. Then, she puts 7 treats in each of the 5 bags. write an expression with two factors that show how many items cheryl put in the bags.

Answers

Answer: 45 items

Step-by-step explanation:

2 key chains in 5 bags so 2+2+2+2+2=10

Then it says 7 treats in each 5 bags so

7+7+7+7+7=35

So 10+35=45 so she had 45 items

And put 9 items in each bag

1) Aladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?​

Answers

Answer:

0.75 feet

Step-by-step explanation:

Let's picture a right triangle, where :

AB = distance b/w bottom of ladder and bottom of wall = 3 feetAC = length of ladder [what we need to find!]BC = distance b/w top of building and bottom of ladder

Let the height of the ladder be x.

Then, taking the ratio b/w the adjacent and opposite sides...⇒ tan 14° = 0.249⇒ tan 14° = x/3⇒ x/3 = 0.249⇒ x = 0.249 x 3⇒ x = 0.747 ≅ 0.75 feet

Answer:

0.748 ft (nearest thousandth)

Step-by-step explanation:

Use the tan trig ratio:

[tex]\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

[tex]\theta[/tex] = 14°O = xA = 3 ft

[tex]\implies \tan(14)=\dfrac{x}{3}[/tex]

[tex]\implies x=3\tan(14)[/tex]

[tex]\implies x=0.7479840085...[/tex]

Therefore, the ladder reaches up the wall 0.748 ft (nearest thousandth)

5 STARS ON YOUR ACCOUNT!!! AND COMMENTS AND A THANK YOU

Answers

Answer:

OPTION B

Step-by-step explanation:

1 cm=0.75 m

I hope it helped you

​The talent contest has a total of $1000 in prize money. What is the amount of money for each of the five prizes? Show your work. ​Enter your answers and your work in the box provided.

Answers

Answer:

1000/5=200?

There are five prizes?

Each one has an equal amount?


A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the red marbles to the blue marbles?

A) 3/5

B) 3/8

C) 5/3

D) 5/8

Answers

Total red = 5

Total blue = 3


Ratio of red to blue = 5/3


answer: c. 5/3

What is 10+10-4x3=??
I will give a free brainliest to the first person to respond to this question :)

Answers

Answer:

8

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

[tex]10 + 10 - 4 \times 3 \\ 4 \times 3 = 12 \\ 10 + 10 - 12 \\ 10 + 10 = 20 \\ 20 - 12 = 8[/tex]

Answer:

8

Step-by-step explanation:

4x3 first = 12

then just do left to right

10+10=20

20-12=8

Find the sum of

3
7
and its opposite

Answers

Answer:0

Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).


And also

A company promises to release a new smartphone model every month.Each models battery life will be 3% longer than the previous models. If the current models battery life is 684.0 minutes , what will the latest models battery life be 7 months from now ?

Answers

Using an exponential function, it is found that the latest models battery life will be of 841 minutes 7 months from now.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, considering that the current battery life is of 684 minutes, and it should increase by 3% each month, the equation for the battery life after t months is given by:

[tex]A(t) = 684(1.03)^t[/tex]

Then, in 7 months, it will be given by:

[tex]A(7) = 684(1.03)^7 = 841[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

What is the perimeter of 4ft and 8ft

Answers

Answer:

24

Step-by-step explanation:

4+4+8+8

8 + `16 = 24

Helppp plssssss!!!!!!

Answers

1) Not Congruent

2) Congruent

3) Congruent

4)Congruent

Evaluate the expression when a=4 and b=6?
8a-b

Answers

Answer: 26

Step-by-step explanation: Multiply first then subtract 8(4)-(6) = 32 - 6 = 26

Answer:

26

Step-by-step explanation:

8a-b

Evaluate or substitute

8(4)-6

32-6

26

Pythagorean Theorem. Show your work.

Answers

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

12^2 + 15^2 = c^2

144 + 225 = c^2

144 + 225 = 369^2

√369 = 19.21

Each side of a pentagonal pyrimad is 9 yards. The area of a pentagon is 139 square yards. The slant height of the pyrimad is 6 yards. True or false: the permeter of the base is 45 yards

Answers

Answer:

Yes

Step-by-step explanation:

The only relevant information is each side of the pentagonal pyramid is 9 years and so the perimeter of the base is 45 since 9 x 5 = 45 yards.

please help!! i'll give a brainliest

Answers

Answer:

Answer is -1

have a nice hope it helps.

what is the constant of proportionality of the below

Answers

Answer:

Proportionality constant k

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

Answer: Proportionality constant k

Step-by-step explanation:

below?

what are the Formulas for Simple Interest?
I don't know what subject this would be for. Please be quick.

Answers

Answer:

[tex]\boxed{\sf{I=Prt}}[/tex]

Step-by-step explanation:

Here is the formula for simple interest:

[tex]\Longrightarrow:\sf{I=Prt}[/tex]

I stands for "interest on the original investments".

P stands for "principal".

R stands for "interest rate".

T stands for "interest time".

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

PRT/100

Step-by-step explanation:

To calculate the simple interest of a principle, use PRT/100, where:

P = PrincipleR = RateT = Time

Let's solve an example together.

Example (https://brainly.com/question/14162725):

Find the Simple Interest to the nearest cent. $300 at 15% for 14 months.

----------------------------------------------------------------------

Before we find the simple interest, let's convert the time into years.

⇒ 14 months = 1 year 2 months ≈ 1.17 years

To find the simple interest, we will substitute the principle ($300), rate (15%) and time (1.17 years) in PRT/100.

⇒ (P)(R)(T)/100 ⇒ (300)(15)(1.17)/100

⇒ (3)(15)(1.17)

⇒ 45(1.17) = $52.65

Thus, the interest is $52.65.

7.a taxi travels with a constant speed

Answers

Answer:

Hi, not sure of what you're asking here?

Step-by-step explanation:

Try rephrasing it??

The number of reviews for each of the local restaurants is counted. The results are normally distributed with a mean of 25 and a standard deviation of 4.
What percentage of restaurants have between 20 and 25 reviews?

10.6%
50.0%
16.0%
39.4%

Answers

Using the normal distribution, it is found that 39.4% of restaurants have between 20 and 25 reviews.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 25, \sigma = 4[/tex].

The proportion of restaurants that have between 20 and 25 reviews is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:

X = 25:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 25}{4}[/tex]

Z = 0.

Z = 0 has a p-value of 0.5.

X = 20:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20 - 25}{4}[/tex]

Z = -1.25.

Z = -1.25 has a p-value of 0.106.

0.5 - 0.105 = 0.394 = 39.4%.

Hence, 39.4% of restaurants have between 20 and 25 reviews.

More can be learned about the normal distribution at https://brainly.com/question/24663213

What is the equation of the line that passes through the point (4,-6) and has a slope of -5/2?


Please I’m desperate I already tried and it was wrong I’ll mark Brainlist

Answers

Answer:

y = (-5/2)X + 4

Step-by-step explanation:

we know that the equation of a line is y = mx + b

m = -5/2

so

y = -5/2x + b

to find b:

-6 = -10 + b

b = 4

so

y = (-5/2)X + 4

Answer:

Use the point-slope form of a linear equation:

[tex]y-y_1=m(x-x_1)[/tex]

where:

[tex]m[/tex] = slope[tex](x_1,y_1)[/tex] = point on line

Given:

[tex]m=-\dfrac52[/tex][tex](x_1,y_1)=(4,-6)[/tex]

Substitute given information into the equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-6)=-\dfrac52(x-4)[/tex]

[tex]\implies y+6=-\dfrac52x+10[/tex]

[tex]\implies y=-\dfrac52x+4[/tex]

Therefore, the equation of the line in different formats is:

[tex]\textsf{slope-intercept form: }y=-\dfrac52x+4[/tex]

[tex]\textsf{standard form: }5x+2y=8[/tex]

FIND THE AREA OF THE FIGURE BELOW

Answers

Answer:

220 squared units

Step-by-step explanation:

first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.

8*20=160

6*20=120

120/2=60

Finally, add them together and you get 220 units squared.

A tortoises walking in the desert it walks for six minutes at a speed of 7.68 m per minute. For how many meters does it walk

Answers

Answer:

It walks 46.08 meters

Step-by-step explanation:

It states that the toriose's speed is 7.68 m per minute, all we have to do is 7.68 m per minute times 6 minutes.

7.68 * 6 = 46.08

It walks 46.08 meters

The mid point of P (10,4) and Q (-4, -6) is: *

Answers

Answer:

(-1,3)

Step-by-step explanation:

use x1+ x2 /divide by 2 .BCOS of u need the midpoint of the straight line

NEED ANSWER ASAP
Which graph best represents the equation 3x + y = -5? A. B. C. D.

Answers

Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

How to Identify the Graph of the Equation of a Line?

The equation of a line can be rewritten in slope-intercept form as, y = mx + b.

The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.

Given the equation:

3x + y = -5

Rewrite in slope-intercept form:

y = -3x - 5

The slope of the graph, would be m = -3, and the y-intercept would b b = -5.

Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

Learn more about graph of a line on:

https://brainly.com/question/10790818

Answer:

B

Step-by-step explanation:

Took the quiz on EDGE 2022

Jenni plots her house and yard on a computer. she determines that the circle that defines the part of the front yard that gets watered by the sprinkler is (x−9)2 (y 11)2=16. what is the diameter, in meters, of the circular area that gets watered by the sprinkler? 4 m 8 m 16 m 32 m

Answers

The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

What is the equation of the circle of radius r units, centered at (x,y) ?

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

For this case, the equation of the circle that models tha circular area considered is:

[tex](x-9)^2 + (y+11)^2=16[/tex]

Writing this in standard form and comparing it with the standard equation, we get:

[tex](x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2 = 4^2[/tex] (didn't took (-4)² = 16 since radius cannot be negative).

Thus, we get center's coordinate as (9,-11) and radius of 4

The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.

Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

Learn more about equation of a circle here:

https://brainly.com/question/10165274

Yo I need to bring up my grade bad so
2y=-3x+2
(please show it graphed already :D)

Answers

Answer:

Slope: [tex]-\frac{3}{2}[/tex]

y-intercept: (0,1)

[tex]\left[\begin{array}{cc}x&y&0&1\\2&-2\end{array}\right][/tex]

here's the graph since the other knucklehead didn't add it

When number is multiplied by 4 subtracting from 68, the result obtained is the same as three times the sum of the number and 4 find the number

Answers

Answer:

Let the no.be X

when multiplied by 4 = 4X

68-4X=3(X+4)

68-4X=3X+12

collecting like terms together,

7X=56

therefore; X=8

hence ,the number is 8.

A simple random sample of 60 is drawn from a normally distributed population, and the mean is found to be 28, with a standard deviation of 5. which of the following values is within the 95% confidence interval (z-score = 1.96) for the population mean? remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. the value of 26, because it’s not greater than 26.7 and less than 29.3. the value of 27, because it’s greater than 26.7 and less than 29.3. the value of 32, because it’s greater than 23 and less than 33. the value of 34, because it’s not greater than 23 and less than 33.

Answers

The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.

What is a confidence interval?

In statistics, a confidence interval is a range to estimate for unknown terms.

The most common level is the 95% confidence interval.

It can be calculated by

CI = Mean ± margin of error.

α = 1 - 0.95 = 0.05

α/2 = 0.025

z(0.025) = 1.96

We need to find the [tex]\frac{\sigma}{\sqrt{n} }[/tex]

[tex]\frac{5}{\sqrt{60} }[/tex] = 0.645

So,

[tex]z \times \frac{\sigma}{\sqrt{n} }[/tex] = 1.96 × 0.645

CI =1.26

C.I= 28±1.2652

Upper limit = 28+1.2652

                  =29.2625

Lower limit =28-1.2652

                   =26.7348

Hence, The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.

Learn more about confidence intervals;

https://brainly.com/question/12899226

Answer:

B

Step-by-step explanation:

Can someone help me with this please and thank you

Answers

Answer: single goes on 45 i forgot the other one

Step-by-step explanation:

Solve for x show work
2x=-6

Answers

Answer:

-3

Step-by-step explanation:

2x=-6

transpose 2 to LHS

[tex]x = \frac{ - 6}{2 } \\ =x = - 3[/tex]

Answer:

x = - 3

Step-by-step explanation:

2x = - 6 ( divide both sides by 2 )

x = - 3

May you help me please I am stressed and struggling

Answers

Answer:

a,c,e.

Step-by-step explanation:

2x+3x+4(2) is 5x+8. C is also. 2(2x) is 4x. 2(4) is 8. Add x is 5x+8

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